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A refinement about estimation of expansion coefficients for normalized biholomorphic mappings 被引量:19

A refinement about estimation of expansion coefficients for normalized biholomorphic mappings
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摘要 A refining estimation of homogeneous expansion for f is discussed, where f belongs to a subclass of all normalized biholomorphic mappings defined on the unit polydisk in Cn or the unit ball in complex Banach spaces, and x = 0 is a zero of order k + 1 of f(x) - x. Moreover, an estimation of homogeneous expansion for subordinate mappings defined on the unit ball in complex Banach spaces is also given. A refining estimation of homogeneous expansion for / is discussed, where f belongs to a subclass of all normalized biholomorphic mappings defined on the unit polydisk in Cn or the unit ball in complex Banach spaces, and x = 0 is a zero of order k+1 of f(x)-x. Moreover, an estimation of homogeneous expansion for subordinate mappings defined on the unit ball in complex Banach spaces is also given.
出处 《Science China Mathematics》 SCIE 2005年第7期865-879,共15页 中国科学:数学(英文版)
基金 This work was supported by the 973 Basic Research Program of China.
关键词 de Branges theorem REFINING ESTIMATION of homogeneous expansion ALMOST STARLIKE MAPPING of order α STARLIKE MAPPING of order α SUBORDINATE mapping. de Branges theorem, refining estimation of homogeneous expansion, almost starlike mapping of order a, starlike mapping of order a, subordinate mapping.
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参考文献2

  • 1Zhang Wenjun,Liu Taishun.On growth and covering theorems of quasi-convex mappings in the unit ball of a complex banach space[J].Science in China Series A: Mathematics.2002(12)
  • 2Kevin A. Roper,Ted J. Suffridge.Convex mappings on the unit ball ofC n[J].Journal d’Analyse Mathematique.1995(1)

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